Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer: 25
Step-by-step explanation:
Finding the product of complex numbers is not different to finding the product of real numbers
(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25
Answer:
$81.70
Step-by-step explanation:
15.95 x 4 = 63.80
8.95 x 2 = 17.90
63.80 + 17.90
1/4 of x is 6 ⇒ 1/4 x = 6
1/4 x = 6
<u>Multiply 4 on both sides:</u>
x = 24
Answer : x = 24
the answer is x= 10.
the steps would go like this.
4 + 3/5 × (15 + 2x) = 25
4 + 9 + 6/5x = 25
13 + 6/5x = 25
65 + 6x = 125
6x = 125 -65
6x = 60
x = 10
hope this helps